4. B modeling#

4.1. Characteristics of modeling#

\(\mathrm{2D}\) axisymmetric modeling:

_images/100007CC000069BB000067DFBB97E607D5BD7D2E.svg

Figure 3.1-a: Geometry and modeling mesh

Boundary conditions:

\(\mathrm{Uy}=0\) on \(\mathrm{NO1}\) and \(\mathrm{NO2}\)

\(\mathit{Uy}={u}^{\mathit{meca}}=30\mathit{mm}\) on \(\mathrm{NO3}\) AND \(\mathrm{NO4}\)

B modeling is the exact equivalent of A modeling taking into account large deformations via the keyword DEFORMATION =” SIMO_MIEHE “.

4.2. Characteristics of the mesh#

Number of knots: 4

Number of meshes and types: 1 QUAD4, 1 SEG2.

4.3. Tested sizes and results#

Identification

Size

Reference

Tolerance

\(t=\mathrm{1.1s}\) \(\mathrm{NO3}\)

\(\mathrm{SIYY}\)

120.113910175

1.0E-4%

\(t=\mathrm{1.4s}\) \(\mathrm{NO3}\)

\(\mathrm{SIYY}\)

190.879298792

1.0E-4%

\(t=\mathrm{2.0s}\) \(\mathrm{NO3}\)

\(\mathrm{SIYY}\)

247.146107033

1.0E-4%

\(t=\mathrm{1.1s}\) \(\mathrm{NO3}\)

\(\mathrm{DY}\)

3.99751358807

1.0E-4%

\(t=\mathrm{1.4s}\) \(\mathrm{NO3}\)

\(\mathrm{DY}\)

12.9975135881

1.0E-4%

\(t=\mathrm{2.0s}\) \(\mathrm{NO3}\)

\(\mathrm{DY}\)

30.9975135881

1.0E-4%

\(t=\mathrm{1.1s}\) \(\mathrm{NO3}\)

\(\mathrm{V1}\)

0.00239196685483

1.0E-4%

\(t=\mathrm{1.4s}\) \(\mathrm{NO3}\)

\(\mathrm{V1}\)

0.0109680756477

1.0E-4%

\(t=\mathrm{2.0s}\) \(\mathrm{NO3}\)

\(\mathrm{V1}\)

0.0283169374338

1.0E-4%

\(t=\mathrm{1.1s}\) \(\mathrm{NO3}\)

\(\mathrm{V7}\)

20.5025730414

1.0E-4%

\(t=\mathrm{1.4s}\) \(\mathrm{NO3}\)

\(\mathrm{V7}\)

91.5239672252

1.0E-4%

\(t=\mathrm{2.0s}\) \(\mathrm{NO3}\)

\(\mathrm{V7}\)

148.008633506

1.0E-4%